
theorem Th12:
  for n being Nat holds for x being Element of dyadic(n) holds
  (axis(x)-1)/(2|^n) < (axis(x)+1)/(2|^n)
proof
  let n be Nat;
  let x be Element of dyadic(n);
  -1 + axis(x) < 1 + axis(x) & 0 < 2|^n by NEWTON:83,XREAL_1:8;
  hence thesis by XREAL_1:74;
end;
